Geodesic
Scale-multiplicative semigroups and geometry: automorphism groups of trees
Udo Baumgartner1 ; Jacqui Ramagge2 ; George A. Willis3
1University of Wollongong, Australia
2University of Sydney, Australia
3The University of Newcastle, Callaghan, Australia
Groups, geometry, and dynamics, Tome 10 (2016) no. 3, pp. 1051-1075

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DOI

A scale-multiplicative semigroup in a totally disconnected, locally compact group G is one for which the restriction of the scale function on G is multiplicative. The maximal scale-multiplicative semigroups in groups acting 2-transitively on the set of ends of trees without leaves are determined and shown to correspond to geometric features of the tree.
DOI : 10.4171/ggd/376
Classification : 20-XX, 22-XX
Mots-clés : Scale function, tidy subgroup, homogeneous tree, tree ends

Udo Baumgartner  1   ; Jacqui Ramagge  2   ; George A. Willis  3

1 University of Wollongong, Australia
2 University of Sydney, Australia
3 The University of Newcastle, Callaghan, Australia 
Udo Baumgartner; Jacqui Ramagge; George A. Willis. Scale-multiplicative semigroups and geometry: automorphism groups of trees. Groups, geometry, and dynamics, Tome 10 (2016) no. 3, pp. 1051-1075. doi: 10.4171/ggd/376
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     year = {2016},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/376/}
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